2010/08/31 by Xin Liu, Zhen-Jun Xiao
Physics and Astronomy · #Algorithm #Annihilation #B meson #Factorization #Geometry #Hadron #High-Energy Particle Collisions Research #Meson #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Pseudoscalar #Pseudoscalar meson #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Scalar (mathematics) #hep-ph
paper · pdf · doi:10.1103/physrevd.82.054029
published as Phys.Rev.D82:054029,2010 · 24 pages, 1 figure, accepted for publication in Physical Review D
arxiv created 2010/08/31 · openalex publication_date 2010/09/27 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The scalar productions in heavy meson decays can provide a good platform to study not only heavy flavor physics but also their own physical properties in a dramatically different way. In this work, based on the assumption of two-quark structure of the scalars, the charmless hadronic Bc\ensuremath→SP,SV decays (here, S, P, and V denote the light scalar, pseudoscalar, and vector mesons, respectively) are investigated by employing the perturbative QCD (pQCD) factorization approach. In the standard model all these considered Bc meson decays can only occur through the annihilation diagrams. From our numerical evaluations and phenomenological analysis, we find that (a) the pQCD predictions for the CP-averaged branching ratios (BRs) of the considered Bc decays vary in the range of 10^\ensuremath-5 to 10^\ensuremath-8, which will be tested in the ongoing LHCb and forthcoming Super-B experiments, while the CP-violating asymmetries for these modes are absent naturally in the standard model because only one type tree operator is involved; (b) for Bc\ensuremath→SP,SV decays, the BRs of \ensuremathΔS=0 processes are basically much larger than those of \ensuremathΔS=1 as generally expected because the different Cabibbo-Kobayashi-Maskawa factors are involved; (c) analogous to B\ensuremath→K*\ensuremathη^(\ensuremath') decays, Br(Bc\ensuremath→\ensuremathκ+\ensuremathη)\ensuremath∼5\ifmmode×\else\texttimes\fiBr(Bc\ensuremath→\ensuremathκ+\ensuremathη^\ensuremath') in the pQCD approach, which can be understood by the constructive and destructive interference between the \ensuremathηq and \ensuremathηs contributions to the Bc\ensuremath→\ensuremathκ+\ensuremathη and Bc\ensuremath→\ensuremathκ+\ensuremathη^\ensuremath' decays, however, Br(Bc\ensuremath→K0*(1430)\ensuremathη) is approximately equal to Br(Bc\ensuremath→K0*(1430)\ensuremathη^\ensuremath') in both scenarios because the factorizable contributions from the \ensuremathηs term play the dominant role in the considered two channels; (d) if a0(980) and \ensuremathκ are the qq bound states, the pQCD predicted BRs for Bc\ensuremath→a0(980)(\ensuremathπ,\ensuremathρ) and Bc\ensuremath→\ensuremathκK(*) decays will be in the range of 10^\ensuremath-6\ensuremath∼10^\ensuremath-5, which are within the reach of the LHCb experiments and could be measured in the near future; and (e) for the a0(1450) and K0*(1430) channels, the BRs for Bc\ensuremath→a0(1450)(\ensuremathπ,\ensuremathρ) and Bc\ensuremath→K0*(1430)K(*) modes in the pQCD approach are found to be (5\ensuremath∼47)\ifmmode×\else\texttimes\fi10^\ensuremath-6 and (0.7--36)\ifmmode×\else\texttimes\fi10^\ensuremath-6, respectively. A measurement of them at the predicted level will favor the qq structure and help understand the physical properties of the scalars and the involved QCD dynamics in the modes, especially the reliability of the pQCD approach to these Bc meson decays.